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Finding the Third Proportional to 53,608 and 78,806

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Solution

The third proportional to 53,608 and 78,806 is: 115,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608 : 78,806 = 78,806 : x
  2. Step 2: Convert to fraction form
    53,608/78,806 = 78,806/x
  3. Step 3: Cross multiply
    53,608x = 78,806 × 78,806
  4. Step 4: Simplify right side
    53,608x = 6,210,385,636
  5. Step 5: Solve for x
    x = 6,210,385,636/53,608
  6. Step 6: Final answer
    x = 115,848.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.